LMFDB - Family of higher genus curves with automorphisms search results

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Results (1-50 of 72 matches)

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Refined passport label	Genus	Quotient genus	Group	Group order	Dimension	Signature	Generating vectors
15.32-1.0.16-32-32.1	$15$	$0$	$C_{32}$	$32$	$0$	$[ 0; 16, 32, 32 ]$	$(1,9,5,13,3,11,7,15,2,10,6,14,4,12,8,16)(17,25,21,29,19,27,23,31,18,26,22,30,20,28,24,32),\ldots$
15.32-1.0.16-32-32.2	$15$	$0$	$C_{32}$	$32$	$0$	$[ 0; 16, 32, 32 ]$	$(1,9,5,13,3,11,7,15,2,10,6,14,4,12,8,16)(17,25,21,29,19,27,23,31,18,26,22,30,20,28,24,32),\ldots$
15.32-1.0.16-32-32.3	$15$	$0$	$C_{32}$	$32$	$0$	$[ 0; 16, 32, 32 ]$	$(1,9,5,13,3,11,7,15,2,10,6,14,4,12,8,16)(17,25,21,29,19,27,23,31,18,26,22,30,20,28,24,32),\ldots$
15.32-1.0.16-32-32.5	$15$	$0$	$C_{32}$	$32$	$0$	$[ 0; 16, 32, 32 ]$	$(1,9,5,13,3,11,7,15,2,10,6,14,4,12,8,16)(17,25,21,29,19,27,23,31,18,26,22,30,20,28,24,32),\ldots$
15.32-1.0.16-32-32.6	$15$	$0$	$C_{32}$	$32$	$0$	$[ 0; 16, 32, 32 ]$	$(1,9,5,13,3,11,7,15,2,10,6,14,4,12,8,16)(17,25,21,29,19,27,23,31,18,26,22,30,20,28,24,32),\ldots$
15.32-1.0.16-32-32.7	$15$	$0$	$C_{32}$	$32$	$0$	$[ 0; 16, 32, 32 ]$	$(1,9,5,13,3,11,7,15,2,10,6,14,4,12,8,16)(17,25,21,29,19,27,23,31,18,26,22,30,20,28,24,32),\ldots$
15.32-1.0.16-32-32.10	$15$	$0$	$C_{32}$	$32$	$0$	$[ 0; 16, 32, 32 ]$	$(1,13,7,10,4,16,5,11,2,14,8,9,3,15,6,12)(17,29,23,26,20,32,21,27,18,30,24,25,19,31,22,28),\ldots$
15.32-1.0.16-32-32.11	$15$	$0$	$C_{32}$	$32$	$0$	$[ 0; 16, 32, 32 ]$	$(1,13,7,10,4,16,5,11,2,14,8,9,3,15,6,12)(17,29,23,26,20,32,21,27,18,30,24,25,19,31,22,28),\ldots$
15.32-1.0.16-32-32.13	$15$	$0$	$C_{32}$	$32$	$0$	$[ 0; 16, 32, 32 ]$	$(1,13,7,10,4,16,5,11,2,14,8,9,3,15,6,12)(17,29,23,26,20,32,21,27,18,30,24,25,19,31,22,28),\ldots$
15.32-1.0.16-32-32.14	$15$	$0$	$C_{32}$	$32$	$0$	$[ 0; 16, 32, 32 ]$	$(1,13,7,10,4,16,5,11,2,14,8,9,3,15,6,12)(17,29,23,26,20,32,21,27,18,30,24,25,19,31,22,28),\ldots$
15.32-1.0.16-32-32.15	$15$	$0$	$C_{32}$	$32$	$0$	$[ 0; 16, 32, 32 ]$	$(1,13,7,10,4,16,5,11,2,14,8,9,3,15,6,12)(17,29,23,26,20,32,21,27,18,30,24,25,19,31,22,28),\ldots$
15.32-1.0.16-32-32.17	$15$	$0$	$C_{32}$	$32$	$0$	$[ 0; 16, 32, 32 ]$	$(1,13,7,10,4,16,5,11,2,14,8,9,3,15,6,12)(17,29,23,26,20,32,21,27,18,30,24,25,19,31,22,28),\ldots$
15.32-1.0.16-32-32.19	$15$	$0$	$C_{32}$	$32$	$0$	$[ 0; 16, 32, 32 ]$	$(1,11,6,16,3,10,8,13,2,12,5,15,4,9,7,14)(17,27,22,32,19,26,24,29,18,28,21,31,20,25,23,30),\ldots$
15.32-1.0.16-32-32.21	$15$	$0$	$C_{32}$	$32$	$0$	$[ 0; 16, 32, 32 ]$	$(1,11,6,16,3,10,8,13,2,12,5,15,4,9,7,14)(17,27,22,32,19,26,24,29,18,28,21,31,20,25,23,30),\ldots$
15.32-1.0.16-32-32.22	$15$	$0$	$C_{32}$	$32$	$0$	$[ 0; 16, 32, 32 ]$	$(1,11,6,16,3,10,8,13,2,12,5,15,4,9,7,14)(17,27,22,32,19,26,24,29,18,28,21,31,20,25,23,30),\ldots$
15.32-1.0.16-32-32.23	$15$	$0$	$C_{32}$	$32$	$0$	$[ 0; 16, 32, 32 ]$	$(1,11,6,16,3,10,8,13,2,12,5,15,4,9,7,14)(17,27,22,32,19,26,24,29,18,28,21,31,20,25,23,30),\ldots$
15.32-1.0.16-32-32.25	$15$	$0$	$C_{32}$	$32$	$0$	$[ 0; 16, 32, 32 ]$	$(1,11,6,16,3,10,8,13,2,12,5,15,4,9,7,14)(17,27,22,32,19,26,24,29,18,28,21,31,20,25,23,30),\ldots$
15.32-1.0.16-32-32.26	$15$	$0$	$C_{32}$	$32$	$0$	$[ 0; 16, 32, 32 ]$	$(1,11,6,16,3,10,8,13,2,12,5,15,4,9,7,14)(17,27,22,32,19,26,24,29,18,28,21,31,20,25,23,30),\ldots$
15.32-1.0.16-32-32.29	$15$	$0$	$C_{32}$	$32$	$0$	$[ 0; 16, 32, 32 ]$	$(1,15,8,11,4,13,6,9,2,16,7,12,3,14,5,10)(17,31,24,27,20,29,22,25,18,32,23,28,19,30,21,26),\ldots$
15.32-1.0.16-32-32.30	$15$	$0$	$C_{32}$	$32$	$0$	$[ 0; 16, 32, 32 ]$	$(1,15,8,11,4,13,6,9,2,16,7,12,3,14,5,10)(17,31,24,27,20,29,22,25,18,32,23,28,19,30,21,26),\ldots$
15.32-1.0.16-32-32.31	$15$	$0$	$C_{32}$	$32$	$0$	$[ 0; 16, 32, 32 ]$	$(1,15,8,11,4,13,6,9,2,16,7,12,3,14,5,10)(17,31,24,27,20,29,22,25,18,32,23,28,19,30,21,26),\ldots$
15.32-1.0.16-32-32.33	$15$	$0$	$C_{32}$	$32$	$0$	$[ 0; 16, 32, 32 ]$	$(1,15,8,11,4,13,6,9,2,16,7,12,3,14,5,10)(17,31,24,27,20,29,22,25,18,32,23,28,19,30,21,26),\ldots$
15.32-1.0.16-32-32.34	$15$	$0$	$C_{32}$	$32$	$0$	$[ 0; 16, 32, 32 ]$	$(1,15,8,11,4,13,6,9,2,16,7,12,3,14,5,10)(17,31,24,27,20,29,22,25,18,32,23,28,19,30,21,26),\ldots$
15.32-1.0.16-32-32.35	$15$	$0$	$C_{32}$	$32$	$0$	$[ 0; 16, 32, 32 ]$	$(1,15,8,11,4,13,6,9,2,16,7,12,3,14,5,10)(17,31,24,27,20,29,22,25,18,32,23,28,19,30,21,26),\ldots$
15.32-1.0.16-32-32.37	$15$	$0$	$C_{32}$	$32$	$0$	$[ 0; 16, 32, 32 ]$	$(1,10,5,14,3,12,7,16,2,9,6,13,4,11,8,15)(17,26,21,30,19,28,23,32,18,25,22,29,20,27,24,31),\ldots$
15.32-1.0.16-32-32.38	$15$	$0$	$C_{32}$	$32$	$0$	$[ 0; 16, 32, 32 ]$	$(1,10,5,14,3,12,7,16,2,9,6,13,4,11,8,15)(17,26,21,30,19,28,23,32,18,25,22,29,20,27,24,31),\ldots$
15.32-1.0.16-32-32.39	$15$	$0$	$C_{32}$	$32$	$0$	$[ 0; 16, 32, 32 ]$	$(1,10,5,14,3,12,7,16,2,9,6,13,4,11,8,15)(17,26,21,30,19,28,23,32,18,25,22,29,20,27,24,31),\ldots$
15.32-1.0.16-32-32.42	$15$	$0$	$C_{32}$	$32$	$0$	$[ 0; 16, 32, 32 ]$	$(1,10,5,14,3,12,7,16,2,9,6,13,4,11,8,15)(17,26,21,30,19,28,23,32,18,25,22,29,20,27,24,31),\ldots$
15.32-1.0.16-32-32.43	$15$	$0$	$C_{32}$	$32$	$0$	$[ 0; 16, 32, 32 ]$	$(1,10,5,14,3,12,7,16,2,9,6,13,4,11,8,15)(17,26,21,30,19,28,23,32,18,25,22,29,20,27,24,31),\ldots$
15.32-1.0.16-32-32.44	$15$	$0$	$C_{32}$	$32$	$0$	$[ 0; 16, 32, 32 ]$	$(1,10,5,14,3,12,7,16,2,9,6,13,4,11,8,15)(17,26,21,30,19,28,23,32,18,25,22,29,20,27,24,31),\ldots$
15.32-1.0.16-32-32.46	$15$	$0$	$C_{32}$	$32$	$0$	$[ 0; 16, 32, 32 ]$	$(1,14,7,9,4,15,5,12,2,13,8,10,3,16,6,11)(17,30,23,25,20,31,21,28,18,29,24,26,19,32,22,27),\ldots$
15.32-1.0.16-32-32.47	$15$	$0$	$C_{32}$	$32$	$0$	$[ 0; 16, 32, 32 ]$	$(1,14,7,9,4,15,5,12,2,13,8,10,3,16,6,11)(17,30,23,25,20,31,21,28,18,29,24,26,19,32,22,27),\ldots$
15.32-1.0.16-32-32.49	$15$	$0$	$C_{32}$	$32$	$0$	$[ 0; 16, 32, 32 ]$	$(1,14,7,9,4,15,5,12,2,13,8,10,3,16,6,11)(17,30,23,25,20,31,21,28,18,29,24,26,19,32,22,27),\ldots$
15.32-1.0.16-32-32.51	$15$	$0$	$C_{32}$	$32$	$0$	$[ 0; 16, 32, 32 ]$	$(1,14,7,9,4,15,5,12,2,13,8,10,3,16,6,11)(17,30,23,25,20,31,21,28,18,29,24,26,19,32,22,27),\ldots$
15.32-1.0.16-32-32.52	$15$	$0$	$C_{32}$	$32$	$0$	$[ 0; 16, 32, 32 ]$	$(1,14,7,9,4,15,5,12,2,13,8,10,3,16,6,11)(17,30,23,25,20,31,21,28,18,29,24,26,19,32,22,27),\ldots$
15.32-1.0.16-32-32.53	$15$	$0$	$C_{32}$	$32$	$0$	$[ 0; 16, 32, 32 ]$	$(1,14,7,9,4,15,5,12,2,13,8,10,3,16,6,11)(17,30,23,25,20,31,21,28,18,29,24,26,19,32,22,27),\ldots$
15.32-1.0.16-32-32.55	$15$	$0$	$C_{32}$	$32$	$0$	$[ 0; 16, 32, 32 ]$	$(1,12,6,15,3,9,8,14,2,11,5,16,4,10,7,13)(17,28,22,31,19,25,24,30,18,27,21,32,20,26,23,29),\ldots$
15.32-1.0.16-32-32.57	$15$	$0$	$C_{32}$	$32$	$0$	$[ 0; 16, 32, 32 ]$	$(1,12,6,15,3,9,8,14,2,11,5,16,4,10,7,13)(17,28,22,31,19,25,24,30,18,27,21,32,20,26,23,29),\ldots$
15.32-1.0.16-32-32.58	$15$	$0$	$C_{32}$	$32$	$0$	$[ 0; 16, 32, 32 ]$	$(1,12,6,15,3,9,8,14,2,11,5,16,4,10,7,13)(17,28,22,31,19,25,24,30,18,27,21,32,20,26,23,29),\ldots$
15.32-1.0.16-32-32.60	$15$	$0$	$C_{32}$	$32$	$0$	$[ 0; 16, 32, 32 ]$	$(1,12,6,15,3,9,8,14,2,11,5,16,4,10,7,13)(17,28,22,31,19,25,24,30,18,27,21,32,20,26,23,29),\ldots$
15.32-1.0.16-32-32.61	$15$	$0$	$C_{32}$	$32$	$0$	$[ 0; 16, 32, 32 ]$	$(1,12,6,15,3,9,8,14,2,11,5,16,4,10,7,13)(17,28,22,31,19,25,24,30,18,27,21,32,20,26,23,29),\ldots$
15.32-1.0.16-32-32.62	$15$	$0$	$C_{32}$	$32$	$0$	$[ 0; 16, 32, 32 ]$	$(1,12,6,15,3,9,8,14,2,11,5,16,4,10,7,13)(17,28,22,31,19,25,24,30,18,27,21,32,20,26,23,29),\ldots$
15.32-1.0.16-32-32.65	$15$	$0$	$C_{32}$	$32$	$0$	$[ 0; 16, 32, 32 ]$	$(1,16,8,12,4,14,6,10,2,15,7,11,3,13,5,9)(17,32,24,28,20,30,22,26,18,31,23,27,19,29,21,25),\ldots$
15.32-1.0.16-32-32.66	$15$	$0$	$C_{32}$	$32$	$0$	$[ 0; 16, 32, 32 ]$	$(1,16,8,12,4,14,6,10,2,15,7,11,3,13,5,9)(17,32,24,28,20,30,22,26,18,31,23,27,19,29,21,25),\ldots$
15.32-1.0.16-32-32.67	$15$	$0$	$C_{32}$	$32$	$0$	$[ 0; 16, 32, 32 ]$	$(1,16,8,12,4,14,6,10,2,15,7,11,3,13,5,9)(17,32,24,28,20,30,22,26,18,31,23,27,19,29,21,25),\ldots$
15.32-1.0.16-32-32.69	$15$	$0$	$C_{32}$	$32$	$0$	$[ 0; 16, 32, 32 ]$	$(1,16,8,12,4,14,6,10,2,15,7,11,3,13,5,9)(17,32,24,28,20,30,22,26,18,31,23,27,19,29,21,25),\ldots$
15.32-1.0.16-32-32.70	$15$	$0$	$C_{32}$	$32$	$0$	$[ 0; 16, 32, 32 ]$	$(1,16,8,12,4,14,6,10,2,15,7,11,3,13,5,9)(17,32,24,28,20,30,22,26,18,31,23,27,19,29,21,25),\ldots$
15.32-1.0.16-32-32.71	$15$	$0$	$C_{32}$	$32$	$0$	$[ 0; 16, 32, 32 ]$	$(1,16,8,12,4,14,6,10,2,15,7,11,3,13,5,9)(17,32,24,28,20,30,22,26,18,31,23,27,19,29,21,25),\ldots$
15.32-1.0.16-32-32.4	$15$	$0$	$C_{32}$	$32$	$0$	$[ 0; 16, 32, 32 ]$	$(1,9,5,13,3,11,7,15,2,10,6,14,4,12,8,16)(17,25,21,29,19,27,23,31,18,26,22,30,20,28,24,32),\ldots$
15.32-1.0.16-32-32.8	$15$	$0$	$C_{32}$	$32$	$0$	$[ 0; 16, 32, 32 ]$	$(1,9,5,13,3,11,7,15,2,10,6,14,4,12,8,16)(17,25,21,29,19,27,23,31,18,26,22,30,20,28,24,32),\ldots$

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Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

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